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Minimal surfaces with helicoidal ends

Leonor Ferrer·Francisco Martin
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Abstract

In this paper we describe a new deformation that connects minimal disks with planar ends with minimal disks with helicoidal ends. In this way, we are able to construct a family of complete minimal surfaces with helicoidal ends that contains the singly periodic genus one helicoid of Hoffman, Karcher and Wei.

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Leonor Ferrer, Francisco Martin. 2004-05-31. Minimal surfaces with helicoidal ends. https://arxiv.org/abs/math/0405588

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